Advances in Multifield Theories for Continua with Substructure - Brossura

 
9781461264651: Advances in Multifield Theories for Continua with Substructure

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The current use of complex materials in nanotechnology and industrial engineering has led to a number of intricate problems in mechanics, and the macroscopic behavior of such materials often depends critically on their substructures. This work, written by leading mathematicians and engineers, features a broad range of topics that offer both experimental results and clear, detailed answers to fundamental questions about the general formulation of multifield theories within the context of modeling material substructures. Applied mathematicians, mechanical and structural engineers, material scientists, graduate students, and researchers in the above areas will benefit from the work and may find suggestions for further research in its rich collection of open problems.

 

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Dalla quarta di copertina

The current use of complex materials in nanotechnology and industrial engineering has led to a number of intricate problems in mechanics. The macroscopic behavior of such materials often depends critically on their substructures. Multifield theories in continuum mechanics provide the tools for modeling and describing these material substructures, as is emphasized in this book. Indeed multifield theories are an active area of research because of the numerous theoretical and numerical problems emerging in the field.

 

Written by leading mathematicians and engineers, the chapters feature a broad range of topics that offer both experimental results and clear, detailed answers to fundamental questions about the general formulation of multifield theories. Amid a rich collection of open problems, selected subjects treated include:

 

* Energetic and geometric properties of elastic-plastic materials

* Poisson structures for complex fluids

* Drag reduction in turbulence due to polymeric substructures

* Topological properties of stresses and defects

* Exact relations for the effective behavior of composites

* Multifield macroscopic modeling of shape memory effects and extended thermodynamics

* Properties of junctions and interfaces

 

Applied mathematicians, mechanical and structural engineers, material scientists, graduate students, and researchers in the above areas will benefit from this work.

 

Contributors:

D. Bernardini, G. Capriz, C. M. Casciola, H. Cendra, E. DeAngelis, Y. Grabovsky, P. M. Mariano, J. Marsden, I. Müller, O. B. Naimark, G. Parry, T. J. Pence, R. Piva, T. S. Ratiu, R. Segev, M. Silhavy

 

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9780817643249: Advances in Multifield Theories for Continua with Substructure

Edizione in evidenza

ISBN 10:  0817643249 ISBN 13:  9780817643249
Casa editrice: Springer Basel AG, 2003
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